Carrier envelope phase of ultrashort pulsed Laguerre Gaussian beam

The carrier-envelope phase of the ultrashort pulsed Laguerre-Gaussian beam is studied. The order of Laguerre function affects seriously the variations of the carrier-envelope phase with the propagation distance increasing. The beam waist also affects the carrier-envelope phase in a few Rayleigh distances. The variation of the carrier-envelope phase is larger on the axis than on the beam periphery in propagation.